Let fix) = -fx x 2 and //(x) be the interpolation polynomial on xq = 0, X

Chapter 3, Problem 10

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Let fix) = -fx x 2 and //(x) be the interpolation polynomial on xq = 0, X| and xj = 1. Find the largest value of x, in (0, 1) for which /(0.5) - ^2(0.5) = -0.25

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